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Finding the Fourth Proportional to 1,917.82, 2,874.90 and 618.38

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Solution

The fourth proportional to 1,917.82, 2,874.90 and 618.38 is: 926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.82 : 2,874.90 = 618.38 : x
  2. Step 2: Convert to fraction form
    1,917.82/2,874.90 = 618.38/x
  3. Step 3: Cross multiply
    1,917.82x = 2,874.90 × 618.38
  4. Step 4: Simplify right side
    1,917.82x = 1,777,766.29
  5. Step 5: Solve for x
    x = 1,777,766.29/1,917.82
  6. Step 6: Final answer
    x = 926.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.